Mathematics Dissertations and Theses: Recent submissions
Now showing items 141-160 of 179
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Numerical Methods for Parameter Estimation in Stochastic Systems
(University of Kansas, 2013-05-31)The objective of this work is to provide numerical simulations in support of a collection of existing results on estimation in two distinct types of stochastic systems. In the first chapter, we consider a linear time-invariant ... -
Quotients of Metric Spaces
(The University of Kansas, 1968)The question of when a given property of a topological space is preserved under mappings is one of the most familiar problems of general topology. Among the properties of greatest interest for general spaces is, without ... -
Neutral Equations of Mixed Type
(University of Kansas, 2012-12-31)In this dissertation we consider neutral equations of mixed type. In particular, we con- sider the associated linear Fredholm theory and nerve fiber models that are written as systems of neutral equations of mixed type. ... -
Super-Stretched and Countable Cohen-Macaulay Type
(University of Kansas, 2012-08-12)This dissertation defines what it means for a Cohen-Macaulay ring to to be super-stretched. In particular, a super-stretched Cohen-Macaulay ring of positive dimension has h-vector (1), (1,n), or (1,n,1). It is shown that ... -
Shearing Flows in Liquid Crystal Models
(University of Kansas, 2012-05-31)The liquid crystal phase is a phase of matter between the solid and liquid phase whose flow is characterized by a velocity field and a director field which describes locally the orientation of the liquid crystal. In this ... -
Normal form approach for dispersive equations with low-regularity data
(University of Kansas, 2012-01-01)In this dissertation, we examine applications of the normal form technique to nonlinear dispersive equations with rough initial data. Working within the framework of Bourgain spaces, the normal form method often produces ... -
Anisotropic Mesh Adaptation for the Finite Element Solution of Anisotropic Diffusion Problems
(University of Kansas, 2011-12-31)Anisotropic diffusion problems arise in many fields of science and engineering and are modeled by partial differential equations (PDEs) or represented in variational formulations. Standard numerical schemes can produce ... -
A Representation of Projective Space by the Points of a Line
(University of Kansas, 1911-05) -
Collineations in Space of Four Dimensions
(University of Kansas, 1910) -
A Review of Jacobi’s Theoriae Functionum Ellipticarum
(University of Kansas, 1912) -
The History of the Teaching of Arithmetic in the United States Prior to 1860
(University of Kansas, 1912-06) -
Foundations of Arithmetic
(University of Kansas, 1910) -
An Analytical Determination of Certain Line Groups in the Plane
(University of Kansas, 1907) -
Certain Continuous Groups of Projective Transformations Treated Analytically
(University of Kansas, 1907) -
Continuous Groups of Projective Transformations in Two Dimensions
(University of Kansas, 1904) -
On Some Physical Applications of Hamilton’s Operator
(University of Kansas, 1902) -
Enumerative and Algebraic Aspects of Slope Varieties
(University of Kansas, 2011-05-18)The slope variety of a graph G is an algebraic variety whose points correspond to the slopes arising from point-line configurations of G. We start by reviewing the background material necessary to understand the theory of ... -
PROPERTIES OF H-SETS, KATETOV SPACES AND H-CLOSED EXTENSIONS WITH COUNTABLE REMAINDER
(University of Kansas, 2011-04-25)In this work we obtain results related to H-sets, Katetov spaces and H-closed extensions with countable remainder. As we shall see, these three areas are closely related but the results of each section carry their own ... -
Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes
(University of Kansas, 2011-04-18)In this dissertation, I investigate two types of stochastic differential equations driven by fractional Brownian motion and backward stochastic differential equations. Malliavin calculus is a powerful tool in developing ... -
Identification and Adaptive Control Methods for Some Stochastic Systems
(University of Kansas, 2011-02-21)This dissertation is focused on the identification and adaptive control of some stochastic systems. Initially a survey of some adaptive control problems for both discrete and continuous time stochastic systems is provided. ...